5.10 Systems of Linear Inequalities Word Problems

Front

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

Back

x + y ≤ 6; 32x + 20y ≥ 150

Front

Kate is selling bracelets (x) for $2 and earrings (y) for $3. She needs to make at least $100 and can make up to 40 pieces of jewelry. Which inequalities represent this situation?

Back

2x + 3y ≥ 100, x + y ≤ 40

Front

Write the system of inequalities for Carlos working at a movie theater with 300 seats, charging $7.50 for adults and $5.50 for children, expecting to make at least $2000 per showing.

Back

x+y≤300
7.5x+5.5y≥2000

Front

JoAnn's work hours and earnings constraints:
- Maximum 15 hours per week
- Earn at least $66 per week
Options: b + t < 15
3b + 6t > 66, b + t > 15
3b + 6t < 66, 3b + 6t > 15
b + t < 66, 3b + 6t < 15
b + t < 66

Back

b + t < 15
3b + 6t > 66

Front

Does the system have an infinite number of solutions?

Back

FALSE